(-4.31)^2+4y^2=30

Solution for (-4.31)^2+4y^2=30 equation:

(-4.31)^2+4y^2=30

We move all terms to the left:

(-4.31)^2+4y^2-(30)=0

determiningTheFunctionDomain
4y^2-30+(-4.31)^2=0

We add all the numbers together, and all the variables

4y^2-11.4239=0

a = 4; b = 0; c = -11.4239;
Δ = b2-4ac
Δ = 02-4·4·(-11.4239)
Δ = 182.7824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{182.7824}}{2*4}=\frac{0-\sqrt{182.7824}}{8}
=-\frac{\sqrt{}}{8}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{182.7824}}{2*4}=\frac{0+\sqrt{182.7824}}{8}
=\frac{\sqrt{}}{8}
$